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Finding the Fourth Proportional to 284,881.40, 427,322.10 and 185,154.20

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Solution

The fourth proportional to 284,881.40, 427,322.10 and 185,154.20 is: 277,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,881.40 : 427,322.10 = 185,154.20 : x
  2. Step 2: Convert to fraction form
    284,881.40/427,322.10 = 185,154.20/x
  3. Step 3: Cross multiply
    284,881.40x = 427,322.10 × 185,154.20
  4. Step 4: Simplify right side
    284,881.40x = 79,120,481,567.82
  5. Step 5: Solve for x
    x = 79,120,481,567.82/284,881.40
  6. Step 6: Final answer
    x = 277,731.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.